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198371272 = 231121012029
BaseRepresentation
bin10111101001011…
…10011111001000
3111211021022020011
423310232133020
5401240340042
631403441304
74626061621
oct1364563710
9454238204
10198371272
11a1a80300
1256526234
1332136b68
141c4baa48
1512636a17
hexbd2e7c8

198371272 has 48 divisors (see below), whose sum is σ = 413084700. Its totient is φ = 89232000.

The previous prime is 198371221. The next prime is 198371293. The reversal of 198371272 is 272173891.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 127373796 + 70997476 = 11286^2 + 8426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96754 + ... + 98782.

Almost surely, 2198371272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198371272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206542350).

198371272 is an abundant number, since it is smaller than the sum of its proper divisors (214713428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

198371272 is a wasteful number, since it uses less digits than its factorization.

198371272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2143 counting only the distinct ones).

The product of its digits is 42336, while the sum is 40.

The square root of 198371272 is about 14084.4336769357. The cubic root of 198371272 is about 583.2117422399.

The spelling of 198371272 in words is "one hundred ninety-eight million, three hundred seventy-one thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2029 2222 4058 4444 8116 8888 12221 16232 22319 24442 44638 48884 89276 97768 178552 204929 245509 409858 491018 819716 982036 1639432 1964072 2254219 4508438 9016876 18033752 24796409 49592818 99185636 198371272